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Finding the Fourth Proportional to 242.04, 333.14 and 209.08

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Solution

The fourth proportional to 242.04, 333.14 and 209.08 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.04 : 333.14 = 209.08 : x
  2. Step 2: Convert to fraction form
    242.04/333.14 = 209.08/x
  3. Step 3: Cross multiply
    242.04x = 333.14 × 209.08
  4. Step 4: Simplify right side
    242.04x = 69,652.91
  5. Step 5: Solve for x
    x = 69,652.91/242.04
  6. Step 6: Final answer
    x = 287.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.